More to the point: here we propose a model for a manifestly relativistic ED, based on work [1]}[2]} in collaboration with M. Abedi and A. Caticha, that is valid for arbitrarily curved space-times with a globally hyperbolic topology; which, of course, includes Minkowski space as a special case. The scheme requires a couple of conceptual innovations with respect to older versions of ED; one involving the notion of time, the other dealing with the update of \(\phi \) , the drift potential. The essential issue is that in a flat space-time with translational symmetry, it is convenient to introduce a global notion of time in which all degrees of freedom are updated in a uniform fashion; and in such instances, a natural constraint is one where \(\phi \)  evolves such that a global energy functional be conserved. However both of these ingredients are inadequate in a generic space-time where it is better to proceed by abandoning such global notions in favor of a more local description. This takes place in two steps. One is the adoption of a local notion of time, in the spirit of Dirac [3]}[4]}, Tomonaga [5]}, and Schwinger [6]}, where time evolution is allowed to vary across spatial locations. Correspondingly, the update of \(\phi \)  is determined, not by conserving a global energy, but by introducing a set of local Hamiltonian generators, four per spatial point, to perform the updating.
